Linear Function Transformations
Linear Function Transformations
Linear Function Transformation Exercise
The linear function y = x, denoted by function g.
The slope-intercept form is y = mx + b, where m=slope and b=y-intercept of the function.
Note: The 'slider' feature on the x-y coordinate plane can be used to change the m and b values
for the following exercises. To do so, place the cursor and hold it on the dot of the slider and
slide it to the desired m and b values.
To move the slider to a different location on the x-y plane, place the cursor and hold it on the line
of the slider and move it to the desired location.
Note: You can zoom in or out with the mouse.
Exercise 1
Perform the following linear function transformation:
Vertical shift of 3 units up (y-intercept = 3).
The new function is y=x +3 , denoted by function f.
Set the slope of the function to m=1 by entering 1 for m.
Set the y-intercept of the function to b=3 by entering 3 for b.
Observe the transformation of the linear function.
Exercise 2
Perform the following linear function transformation:
Vertical shift of 3 units down (y-intercept = -3).
The new function is y=x - 3 , denoted by function f.
Set the slope of the function to m=1 by entering 1 for m.
Set the y-intercept of the function to b=-3 by entering -3 for b.
Observe the transformation of the linear function.
Exercise 3
Perform the following linear function transformation:
Change slope of the linear function to 2.
The new function is y=2x , denoted by function f.
Set the slope of the function to 2 by entering 2 for m.
Set the y-intercept of the function to b=0 by entering 0 for b.
Observe the transformation of the linear function.
Exercise 4
Perform the following linear function transformation:
Change slope of the linear function to - 2.
The new function is y= - 2x ,denoted by function f.
Set the slope of the function to -2 by entering -2 for m.
Set the y-intercept of the function to b=0 by entering 0 for b.
Observe the transformation of the linear function.
Exercise 5
Perform the following linear function transformation:
Graph a constant linear function by changing the slope of the
linear function to 0 with a y-intercept of 3.
The new function is y= 0 +3 = 3 , denoted by function f.
Set the slope of the function to 0 by entering zero for m.
Set the y-intercept of the function to 3 by entering 3 for b.
Observe the transformation of the linear function.
Exercise 6
Repeat this exercise as many times as desired until concept is mastered.
Use different values of m and b.